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In the figure below, ABCD is a parallelogram, AD = 18 and DC = 27. Segments EG and FH are perpendicular to sides of the parallelogram as shown, and EG = 16. Determine FH.

AWESOMEEE  May 14, 2015

Best Answer 

 #3
avatar+1068 
+13

sinA = 16/18

angle A = 62.73o

 

FH = 27*sin62.73o

FH = 24

Same answer, but I like yours better, geno! 

civonamzuk  May 14, 2015
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3+0 Answers

 #1
avatar+17655 
+13

The area of a parallelogram can be found by multiplying a side times the height to that side.

Since you will get the same answer using whatever side you want to use:

Area  =  FH x AD  =  EG x DC

--->        FH x 18  =  16 x 27

--->                FH  =  24

geno3141  May 14, 2015
 #2
avatar+78755 
+5

Very nice, geno....!!!!

 

  

CPhill  May 14, 2015
 #3
avatar+1068 
+13
Best Answer

sinA = 16/18

angle A = 62.73o

 

FH = 27*sin62.73o

FH = 24

Same answer, but I like yours better, geno! 

civonamzuk  May 14, 2015

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